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Finding the Fourth Proportional to 34,329.96, 51,481.98 and 15,849

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Solution

The fourth proportional to 34,329.96, 51,481.98 and 15,849 is: 23,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,329.96 : 51,481.98 = 15,849 : x
  2. Step 2: Convert to fraction form
    34,329.96/51,481.98 = 15,849/x
  3. Step 3: Cross multiply
    34,329.96x = 51,481.98 × 15,849
  4. Step 4: Simplify right side
    34,329.96x = 815,937,901.02
  5. Step 5: Solve for x
    x = 815,937,901.02/34,329.96
  6. Step 6: Final answer
    x = 23,767.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.